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Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number
Learn how to solve differential equations problems step by step online.
$\frac{dy}{dx}=\frac{1}{e^x\sin\left(y\right)}$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx=(e^(-x))/sin(y). Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Divide fractions \frac{1}{\frac{1}{\sin\left(y\right)}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Integrate both sides of the differential equation, the left side with respect to . Solve the integral \int\sin\left(y\right)dy and replace the result in the differential equation.